用解析有限元法嵌入地下水管理模型求最优解

为了弥补当前地下水资源优化管理模型中通用的两种构模方法的缺点,即嵌入法的代数方程组过于庞大、上机困难,和响应矩阵法不保证全局最优,提出了用解析有限元法建立整体非稳定(即带有时间变量)抽水响应矩阵作为约束条件嵌入线性规划模型.这一方法由于具备了空间上表达任一节点在任一时刻的地下水运动规律的能力,克服了上述构模的两大缺点,其推广应用将有利于提高地下水资源的优化开发和管理.

Application of Analytical Finite Element Method to an Optimum Solution of Groundwater Management Model

In order to imporved such disadvatages as the matrix, applied in the embedding method, requires large memory for storage, and as the global optimum solution can not be guaranteed in response matrix method, here an integral unsteady response matrix of the whole region, derived by the analytical FEM, is proposed as a constraint condition, embeddling into the linear programming model. Since the later can express the behavior of the drawdown in the whole domain, it can be found that the method, given in this paper, will facilitate optimal development and management of ground water resources.